In the given figure, AB is parallel to CD. Angle PAB = 55 degrees and angle DCP = 115 degrees. What is the value (in degrees) of angle APC?
Show answer & explanation
Correct answer: D
Explanation
Given:
AB ∥ CD, ∠PAB = 55°, ∠DCP = 115°
Alternate angles are equal, and the sum of angles on a straight line is 180°.
∠PAB = ∠APC₁ = 55°
∠DCP and ∠PCD lie on a straight line.
⇒ ∠PCD = 180° − 115° = 65°
∠APC = 55° − 65° = −10° (Invalid)
∠APC = 115° − 55° = 60°